B. J. Wuebben

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math.GT2026

The instanton homology of the $(- 2, 3, q)$ pretzel knots and Maurer-Cartan deformations in the two-arc algebra of the pillowcase

Bernd Johannes Wuebben

For every odd $q \geq 3$ we prove that the reduced singular instanton knot homology of the pretzel knot $P (- 2, 3, q)$ is free abelian of rank $q + 2$ , by squeezing it between Hironaka's A…

math.GT2026

Traceless $SU (2)$ characters and $Z /4$ instanton gradings for two-bridge and $(3, n)$ -torus knots

Bernd Johannes Wuebben

For the $(3, n)$ -torus knots we determine the $Z /4$ gradings of the reduced singular instanton chain complex through the double branched cover $Σ (2, 3, n)$ rather than throug…

The instanton homology of the (−2,3,q) pretzel knots and Maurer-Cartan deformations in the two-arc algebra of the pillowcase

Traceless SU(2) characters and Z/4 instanton gradings for two-bridge and (3,n)-torus knots

The instanton homology of the $(- 2, 3, q)$ pretzel knots and Maurer-Cartan deformations in the two-arc algebra of the pillowcase

Traceless $SU (2)$ characters and $Z /4$ instanton gradings for two-bridge and $(3, n)$ -torus knots